math help

What is 99/7 + 6/10?

What is 99/7 + 6/10?

This is how we add

99
7
 +
6
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 99 by 10, and get 990, then we multiply 7 by 10 and get 70.

99/7 times 10

Do the same for the second term. We multiply 6 by 7, and get 42, then multiply 7 by 10 and get 70.

6/10 times 7

The problem now has new fractions to add:

990
70
 +
42
70

Step 2

Since our denominators match, we can add the numerators.

990 + 42 = 1032

This yields the answer

1032
70

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1032
70
 ÷ 2 =
516
35

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. 37 is larger than 35. So we're done reducing.

And we're done! Here's the final answer to 99/7 + 6/10

99
7
 +
6
10
 =
516
35
© 2014 Randy Tayler

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